What is the Greatest Common Factor of 81952 and 81964?

Greatest common factor (GCF) of 81952 and 81964 is 4.

GCF(81952,81964) = 4

We will now calculate the prime factors of 81952 and 81964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81952 and 81964.

How to find the GCF of 81952 and 81964?

We will first find the prime factorization of 81952 and 81964. After we will calculate the factors of 81952 and 81964 and find the biggest common factor number .

Step-1: Prime Factorization of 81952

Prime factors of 81952 are 2, 13, 197. Prime factorization of 81952 in exponential form is:

81952 = 2⁵ × 13¹ × 197¹

Step-2: Prime Factorization of 81964

Prime factors of 81964 are 2, 31, 661. Prime factorization of 81964 in exponential form is:

81964 = 2² × 31¹ × 661¹

Step-3: Factors of 81952

List of positive integer factors of 81952 that divides 81952 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 197, 208, 394, 416, 788, 1576, 2561, 3152, 5122, 6304, 10244, 20488, 40976

Step-4: Factors of 81964

List of positive integer factors of 81964 that divides 81952 without a remainder.

1, 2, 4, 31, 62, 124, 661, 1322, 2644, 20491, 40982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81952 and 81964. The biggest common factor number is the GCF number.
So the greatest common factor 81952 and 81964 is 4.

Also check out the Least Common Multiple of 81952 and 81964